1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tcecarenko [31]
2 years ago
13

Factor the expression:

Mathematics
1 answer:
Dovator [93]2 years ago
6 0

Answer:

  B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

  a² -b² = (a -b)(a +b)

__

Here, we have ...

  a² -b² = 16x² -(-25)

  a² = 16x²   ⇒   a = 4x

  b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

  (a -b)(a +b) = (4x -5i)(4x +5i)

You might be interested in
What is the absolute value of -8? Use the number line to help answer the question
Ad libitum [116K]
The absolute value of -8 is 8
here’s a trick the absolute value of a positive is the same number of its negative it’s the same number but positive
hope it helps
4 0
2 years ago
Elderly drivers. In January 2011, The Marist Poll published a report stating that 66% of adults nationally think licensed driver
katrin [286]

Answer:

(a) Hence, the margin of error reported by The Marist Poll was correct.

(b) Based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.

Step-by-step explanation:

We are given that the Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age.

It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.

(a) <u>Margin of error formula is given by;</u>

             Margin of Error =  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

where, \alpha = level of significance = 1 - 0.95 = 0.05 or 5%

Standard of error =  \sqrt{\frac{\hat p(1-\hat p)}{n} }

Also, \hat p = sample proportion of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age = 66%

n = sample of American adults = 1.018

The critical value of z for level of significance of 2.5% is 1.96.

So, <em>Margin of Error </em>=  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

                                =  1.96  \times \sqrt{\frac{0.66(1-0.66)}{1,018} } = 0.03 or 3%

Hence, the margin of error reported by The Marist Poll was correct.

(b) Now, the pivotal quantity for 95% confidence interval for the population proportion who think that licensed drivers should be required to retake their road test once they turn 65 is given by;

                   P.Q. =  \frac{\hat p-p}{ \sqrt{\frac{\hat p(1-\hat p)}{n} }}  ~ N(0,1)

So, <u>95% confidence interval for p</u> =  \hat p \pm \text{Margin of error}

                                                        =  0.66 \pm 0.03

                                                        =  [0.66 - 0.03 , 0.66 + 0.03]

                                                        =  [0.63 , 0.69]

Hence, based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65 because the interval does not include the value of 70% or more.

7 0
3 years ago
Which expressions are equivalent to ( 10 x 18) + (10 x s)
kolezko [41]

Answer:

10×18=180

180+(10s)

if it is equal to zero

s is -18

4 0
3 years ago
Fraction Questions:
bagirrra123 [75]

Answer:

0

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What kinds of regular polygons can be used for regular tesselations
Ahat [919]
To tessellate a surface using a regular polygon, the interior angle must be a sub-multiple (i.e. factor) of 360 degrees to cover completely the surface.

For a regular three-sided polygon, the interior angle is (180-360/3)=60 &deg;
       Since 6*60=360, so a regular three-sided polygon (equilateral triangle)            tessellates.
For a regular four-sided polygon, the interior angle is (180-360/4)=90 &deg;
       Since 4*90=360, so a regular four-sided polygon (square) tessellates.
For a regular five-sided polygon, the interior angle is (180-360/5)=108 &deg;
       Since 360/108=3.33... (not an integer), so a regular five-sided polygon           (pentagon) does NOT tessellate.
For a regular six-sided polygon, the interior angle is (180-360/6)=120 &deg;
       Since 3*120=360, so a regular six-sided polygon (hexagon) tessellates.


5 0
3 years ago
Read 2 more answers
Other questions:
  • A goblet contains 2 red marbles, 6 green marbles, and 4 blue marbles.
    5·1 answer
  • Which of the following is an appropriate question to ask
    13·1 answer
  • What's the reciprocal of 3 over 5?
    9·1 answer
  • The sum of any two consecutive integers is always odd true or false
    9·2 answers
  • What is the GCF of 18, 45, 63
    5·1 answer
  • On August 21, 2009, the World Health Organization announced its prediction that the number of new cases of H1N1 (swine flu) viru
    9·1 answer
  • Equation for motion​
    10·1 answer
  • omg i swear PLEASE someone actually explain the answer to me, i need help &amp; im desperate. ill give brainliest to whoever exp
    12·1 answer
  • I make a profit of $10 on a shirt.i bought the shirt for $7.how much did I sell it for?​
    5·2 answers
  • A shirt and a tie together cost $57. The shirt costs $33 more than the tie. What is the cost of the shirt?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!